Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	66×	body	640	valid
9.0ms	133×	body	80	valid
7.0ms	37×	body	320	valid
3.0ms	20×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.7b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`times-frac`
15×	`add-cube-cbrt`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 71

Calls

2 calls:

9.0ms	(/ 1 (+ x 1))
51.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series62.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (+ x 1))
38.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify3.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
4	4247
3	1775
2	775
1	269
0	124

prune206.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1) x)
0.3b	(/ -1 (* (+ x 1) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-l` `associate-*l/`
3×	`times-frac` `associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

22.0ms	(* (+ x 1) x)
9.0ms	(/ -1 (* (+ x 1) x))

series76.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (+ x 1) x)
20.0ms	(/ -1 (* (+ x 1) x))

simplify1.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5042
3	2579
2	593
1	204
0	87

prune193.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (+ x 1))
0.1b	(/ (/ -1 (+ x 1)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 125

Calls

2 calls:

8.0ms	(/ -1 (+ x 1))
14.0ms	(/ (/ -1 (+ x 1)) x)

series47.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ -1 (+ x 1))
31.0ms	(/ (/ -1 (+ x 1)) x)

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	1443
1	486
0	199

prune422.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

42.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
3.0ms	(cbrt (+ x 1))
3.0ms	(cbrt (+ x 1))
3.0ms	(cbrt (+ x 1))

series208.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
44.0ms	(cbrt (+ x 1))
63.0ms	(cbrt (+ x 1))
44.0ms	(cbrt (+ x 1))

simplify2.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5005
4	4109
3	1592
2	660
1	282
0	123

prune358.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

621.0ms	1869×	body	640	valid
360.0ms	4296×	body	80	valid
252.0ms	1185×	body	320	valid
111.0ms	650×	body	160	valid